ef2452_B07_PS7 - $9 to $8 . 50 , ²nd the approximate...

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EF 2452 Problem Set#7 Due: Week 9 Tutorial Class Q1. Suppose h ( x ) and g ( x ) are positive-valued diferentiable Functions oF x , where A , a and b are constants. ±ind the expressions For f ( x ) x in the Following cases: (a) f ( x ) = A { [ h ( x )] a + [ g ( x )] b } a + b (b) f ( x ) = A [ h ( x )] a [ g ( x )] b Q2. ±ind f ( x ) using the standard rules in the Following cases: (a) f ( x ) = b ln[2 x 2 + 5 x + 4] B 1 2 (b) f ( x ) = e x 2 x 3 (where x n = 3 ) Q3. Suppose that the demand Function For a good is given by q D ( p ) = 8400 p 2 + 3 where q is the quantity and p is the price in dollars. IF the price is decreased From
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Unformatted text preview: $9 to $8 . 50 , ²nd the approximate increase in the quantity sold by using the derivative oF the demand Function. How does it compare to the actual increase in the quantity sold? Q4. ±ind f ′ ( x ) For the Following cases: (a) f ( x ) = ln [ g ( x ) h ( x ) ] (b) f ( x ) = b [ g ( x )] 2 − [ h ( x )] 2 [ g ( x ) + h ( x )] 2 B 2...
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